Lagrangian Symmetries of Chern-Simons Theories
A. Borowiec, M. Ferraris, M. Francaviglia
TL;DR
This paper investigates the Noether symmetries and conservation laws of Chern-Simons Lagrangians in three dimensions, providing explicit superpotentials for Chern-Simons gravity and discussing superpotentials in third-order theories.
Contribution
It offers a detailed analysis of symmetries and conservation laws in 3D Chern-Simons theories, including explicit superpotential expressions and a general discussion on third-order theories.
Findings
Derived superpotential for Chern-Simons gravity
Identified Noether symmetries in 3D Chern-Simons theories
Discussed superpotentials for third-order natural theories
Abstract
This paper analyses the Noether symmetries and the corresponding conservation laws for Chern-Simons Lagrangians in dimension . In particular, we find an expression for the superpotential of Chern-Simons gravity. As a by-product the general discussion of superpotentials for 3rd order natural and quasi-natural theories is also given.
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